7.4 Analytic Functions 1. (a) cos(3x) = I:~o( _9)kX2k /(2k)!. (b) 2X = I:~=o xk logk 2/k!....

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7.4 Analytic Functions 1.

(a) cos(3x) = I:~o( _9)kX2k /(2k)!.

(b) 2X = I:~=o xk logk 2/k!.

(c) cos2 x = 1 + I:~l (_1)k22k-1X2k /(2k)!.

(d) sin2 x + cos2 X = 1.

(e) x3ex2 =

I:~o x2k+3 / k!.

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